• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2014년도 추계학술대회 논문집
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• pp.760-767
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• 2014

This paper proposes a method to calculate pressure and flow of the fluid dynamic bearings (FDBs) with a recirculation channel (RC) by solving the Reynolds and the Hagen-Poiseuille equations at the same time. The Hagen-Poiseuille equation is one-dimensional equation which describes the flow in a circular pipe such as the RC. This research developed a finite element program to solve the Reynolds and the Hagen-Poiseuille equation together. The proposed method was applied to calculate the pressure and flow of the FDBs which are composed of grooved or plain journal and thrust bearings, and RC. To verify the proposed method, it also developed a finite volume model of the FDBs, and pressure and flow were calculated by the commercial CFD solver. They agree well with the pressure and flow calculated by the proposed method. Finally, this research investigated the characteristics of the FDBs due to the radius change of the RC.

• 한국진공학회:학술대회논문집
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• 한국진공학회 2014년도 제46회 동계 정기학술대회 초록집
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• pp.150.1-150.1
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• 2014

Showerhead is used as a main part in the semiconductor equipment. The face plate flatness should remain constant and the cleaning performance must be gained to keep the uniformity level of etching or deposition in chemical vapor deposition process. High operating temperature or long period of thermal loading could lead the showerhead to be deformed thermally. In some case, the thermal deformation appears very sensitive to showerhead performance. This paper describes the methods for robust design using computational fluid dynamics. To reveal the influence of the post distribution on flow pattern in the showerhead cavity, numerical simulation was performed for several post distributions. The flow structure appears similar to an impinging flow near a centered baffle in showerhead cavity. We took the structure as an index to estimate diffusion path. A robust design to reduce the thermal deformation of showerhead can be achieved using post number increase without ill effect on flow. To prevent the showerhead deformation by heat loading, its face plate thickness was determined additionally using numerical simulation. The face plate has thousands of impinging holes. The design key is to keep pressure drop distribution on the showerhead face plate with the holes. This study reads the methodology to apply to a showerhead hole design. A Hagen-Poiseuille equation gives the pressure drop in a fluid flowing through such hole. The assumptions of the equation are the fluid is viscous-incompressible and the flow is laminar fully developed in a through hole. An equation can be expressed with radius R and length L related to the volume flow rate Q from the Hagen-Poiseuille equation, $Q={\pi}R4{\Delta}p/8{\mu}L$, where ${\mu}$ is the viscosity and ${\Delta}p$ is the pressure drop. In present case, each hole has steps at both the inlet and the outlet, and the fluid appears compressible. So we simplify the equation as $Q=C(R,L){\Delta}p$. A series of performance curves for a through hole with geometric parameters were obtained using two-dimensional numerical simulation. We obtained a relation between the hole diameter and hole length from the test cases to determine hole diameter at fixed hole length. A numerical simulation has been performed as a tool for enhancing showerhead robust design from flow structure. Geometric parameters for the design were post distribution and face plate thickness. The reinforced showerhead has been installed and its effective deposition profile is being shown in factory.

• 농업과학연구
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• 제23권1호
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• pp.108-119
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• 1996

낙엽성 참나무류 6종의 당년생 가지에 대해 목부를 구성하는 도관의 수분 통도성에 관련된 몇 가지 모수들이 조사되었다. 또한 신갈나무와 굴참나무 맹아 및 신갈나무와 상수리나무의 실생묘를 대상으로 상기 수분 통도와 관련된 모수들을 조사하였다. specific conductivity와 leaf specific conductivity 그리고 도관의 직경과 관련을 지닌 것으로 간주되는 Hagen-Poiseuille's relative hydraulic conductivity의 측정치 들은 조사된 모든 수종 중 떡갈나무에서 가장 높은 값을 보였다. 조사된 대부분의 수종에 있어서 5-6월에 측정된 상기 측정치 들은 생육기의 경과와 함께 cavitation 등에 의해 도관 폐색이 증대되는 9-10월의 측정치보다 높은 값을 보였다. Hagen-Poiseuille의 경험식에 의해 추정된 도관의 relative hydraulic conductivity와 실측한 hydraulic conductivity 간에는 대부분의 수종에서 정의 상관 관계를 보였다. 잎의 면적 또는 건중량 각각을 기준으로 하는 Huber value와 leaf specific conductivity 간에는 일부 예외가 있지만 전체적으로 서로 비슷한 양상을 나타냈다. 신갈나무와 굴참나무에서 맹아지의 수분 통도성은 정상지보다 양호한 것으로 나타났다. 신갈나무와 상수리나무의 실생묘에 있어서 가지를 절단한 직후에 측정된 specific conductivity와 leaf specific conductivity는 그 후 cavitation에 의한 도관 폐색으로 급격히 낮아지는 현상을 보였다. 신갈나무와 상수리나무 실생묘에서 측정된 수분 통도 기능의 일중 변화를 고려할 때 약한 수분 stress 하에서는 수목이 능동적인 수분 흡수를 통해 그들의 수분 통도성을 자체 회복할 수 있음을 보여주었다. 주기적으로 수분 stress를 받는 상수리나무 실생묘의 specific conductivity와 leaf specific conductivity 등은 생육 기간이 경과되면서 감소되었지만 통도성에 미치는 수분 stress의 영향은 이와 관련을 지닌 목부 및 잎의 발달에 동시에 비슷한 방향으로 작용하고 있어 분명한 결론을 얻기 어려웠다. 이들 묘목에서 수분 통도성에 대한 측정치들은 일반적으로 근원부보다 줄기의 중간 또는 상부에서 더 높은 값을 나타내었다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제11권1호
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• pp.31-39
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• 2007

A pedagogic model for blood flow is introduced to help medicine majors understand a simplified version of Navier-Stokes equations which is known to be a good tool for interpreting the phenomena in blood flow. The pressure gradient consists of a time-independent part known as Hagen-Poiseuille's gradient and a time-dependent part known as Sexl's, and the model formula for the volume rate of blood flow is reduced to a very simple form. For demonstration, the blood rate in human aorta system is analyzed in connection with the time-dependence of pressure gradient. It is shown for Sexl's part that the flow rate lags the pressure gradient by ${\pi}/2$, which is thought to be due to the relaxation process involved.

• 한국정밀공학회지
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• 제32권4호
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• pp.369-375
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• 2015

This paper presents ejection of high viscosity fluids with magnetostrictive inkjet printhead(Magjet), which is not common with any other printhead. The MagJet uses a magnetostrictive material, Terfenol-D rod with 10-mm in diameter and 50-mm in length, as an actuation mechanism. It has been known that high viscosity is often an obstacle in ejecting small and mono-disperse droplets. We calculated required pressure with fluidic inertia (Bernoulli equation) and viscous loss (Hagen Poiseuille equation). The required pressure for ejecting a droplet is 1300kPa. The generated force and displacement with Terfenol-D rod are estimated to be 480N (2600kPa) and $28{\mu}m$, respectively. It was enough that Magjet eject high viscosity fluid (Max 1000cP). The experiments are performed to eject the high viscosity fluid with Magjet. The ejection of high viscosity fluids is successful with the aid of Terfenol-D's high performance.

• 한국염색가공학회지
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• 제21권6호
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• pp.56-63
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• 2009

In this study we have evaluated the separation characteristics and concentration of sericin using tubular type ultrafiltration membrane in silk degumming solution that extracted from electrolytic reduction water process. Ultrafiltration membranes have used in sericin separation performance and the separation characteristics of membrane satisfied typical Hagen-Poiseuille equation. It had the increase of flux according to the increase of feed pressure and temperature in occasion of pure water flux. And also the flux and solute rejection had about $25{\sim}60{\ell}/m^2{\cdot}h$ and more than 95% in sericin feed solution with concentration 1.00~1.89% at feed pressure force of $3{\sim}8kgf/cm^2$ respectively. In addition, the separation performance of tubular type ultrafiltration membrane for silk degumming solution was very steady-state with long experiment time.

• Korean Chemical Engineering Research
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• 제55권6호
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• pp.767-770
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• 2017

Quadruple tank liquid level systems are popular in testing multivariable control systems for multivariable processes with positive or negative zeros. The liquid level system is nonlinear and it will help to illustrate the robustness of control systems. However, due to nonlinearity, it can be cumbersome to obtain process parameters for testing linear control systems. Perturbation sizes are limited for valid linearized process models, requiring level sensors with high precision. A simple method where the outlet orifice is replaced to a long tube is proposed here. The effluent flow rate becomes proportional to the liquid level due to the friction loss of long tube and the liquid level system shows near linear dynamics. It is applied to the quadruple tank system for easier experiments.